Find the missing term (Important Questions)

Duration: 11 min

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Inside: a video lesson and guided study material.

Module outline

  1. English Comprehension: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Reading Comprehension, Vocabulary, Idioms and Phrases, Narrative Sequencing, Critical Reasoning
  2. Reasoning and Aptitude: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Logical Sequence Of Words, Seating Arrangements, Puzzle Solving (Puzzles), Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Data Sufficiency, Selection Decision Table (Decision Making), Calendar, Clock, Cubes & Dices, Data Arrangement, Venn Diagram, Analytical Reasoning (Counting Figures Reasoning), Number System, HCF LCM, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Speed Time and Distance, Mensuration and Geometry, Arithmetic, Mixture and Alligation, Age Problems, Data Interpretation, Alphabet and Word Tests, Numerical Reasoning, Number System, Averages, Mixtures and Alligation, Percentages, Series Completion, Analogy and Classification, Patterns in Two-Dimensional Figures, Coding and Decoding, Mathematical Operations, Direction Sense, Logical Deduction and Induction, Simplification and Approximation, Assembling and Grouping of Shapes, Transformation of Shapes, Three-Dimensional Patterns and Visualization, Cubes and Dice, Algebra, Traverse Surveying, Clocks and Calendars, Order, Ranking and Sequence, Constraint Puzzles, Syllogisms and Venn Diagrams, Ratio and Proportion, Mensuration, Permutations and Combinations, Project Monitoring, Resources and Safety, Profit, Loss and Discount, Sequences and Series, Powers, Surds and Logarithms, Subject-Verb Agreement, Sentence Completion, Geometry, Probability, Trigonometry, Measurement and Quantity Take-Off, Statistics, Data Sufficiency, Blood Relations, Speed, Time and Distance, Time and Work, Data Interpretation, Sequence and Series (Series), Algebra, Permutation and Combination, Combinatorics
  3. General Awareness: Physics, Chemistry, Biology, Geography, History, Polity, Indian Economy
  4. Computer Fundamentals: Basics of COA, Number System, Number Representation, Semiconductor Memories and Programmable Logic, Timing, Hazards and Testing, Processor Organization and Instructions, Number Systems and Codes, Combinational Logic Design, Combinational Logic Circuits, Number Systems and Codes
  5. Operating System: Introduction to OS, Unix OS, Linux OS
  6. C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  7. OOPS with C++ & Java: OOPS with C++, Java
  8. Database Management System: Basics of DBMS, SQL
  9. MS Office: MS Office Applications
  10. Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video is a comprehensive tutorial on solving number and letter series problems, a common topic in competitive exams. The instructor, Yash Jain, begins by introducing the topic and then systematically works through several distinct types of series. The first example is a number series: 5, 7, 12, 19, 31, 50, ?, where the pattern is identified as the sum of the two preceding numbers (a Fibonacci-like sequence). The second example is a more complex number series: 221, __, 165, 140, 117, 96, where the instructor demonstrates a two-step pattern: the difference between consecutive terms decreases by 2, and the difference itself is a multiple of 29. The third example is a division-based series: 3240, 540, 108, 27, __, 4.5, where each term is obtained by dividing the previous term by a decreasing integer (6, 5, 4, 3, 2). The final example is a letter series: E5, J1, O6, T2, __, where the pattern involves the alphabetical position of the letters (E=5, J=10, O=15, T=20) and the numbers (5, 1, 6, 2), which are derived from the sum of the digits of the letter's position. The video concludes with a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card for 'NUMBER SERIES & LETTER SERIES'. It then transitions to a slide titled 'NUMBER SERIES - LETTER SERIES' which presents the first problem: 'Find the next Number in this series: 5, 7, 12, 19, 31, 50, ?'. The instructor, Yash Jain, is visible in a small window, and the slide also includes a cartoon character and the text 'Solve This Number Puzzle'. The instructor begins to analyze the series, noting that the difference between the first two terms is 2, and the difference between the second and third is 5, which is 2+3.

  2. 2:00 – 5:00 02:00-05:00

    The video displays a new problem: 'Find the missing term in the given series: 221, __, 165, 140, 117, 96'. The instructor analyzes the differences between the known terms: 165 to 140 is a difference of 25, 140 to 117 is 23, and 117 to 96 is 21. He identifies a pattern where the difference decreases by 2 each time. He then calculates the difference between 221 and the missing term, which should be 27 (25+2), leading to the missing term being 221 - 27 = 194. He verifies this by checking the difference between 194 and 165, which is 29, and confirms the pattern of differences (29, 27, 25, 23, 21) is consistent.

  3. 5:00 – 10:00 05:00-10:00

    The video presents a new series: '3240, 540, 108, 27, __, 4.5'. The instructor analyzes the relationship between consecutive terms. He observes that 3240 divided by 6 equals 540, 540 divided by 5 equals 108, and 108 divided by 4 equals 27. He identifies the pattern as division by a decreasing integer (6, 5, 4). Following this pattern, the next term is 27 divided by 3, which equals 9. He then verifies that 9 divided by 2 equals 4.5, confirming the pattern is correct. The missing term is 9.

  4. 10:00 – 11:22 10:00-11:22

    The final problem is presented: 'Find the next term in the given series: E5, J1, O6, T2, __'. The instructor analyzes the pattern. He notes the letters: E (5th), J (10th), O (15th), T (20th), which are in the sequence of every 5th letter. The numbers are 5, 1, 6, 2. He explains that the numbers are the sum of the digits of the letter's position: E=5, so 5; J=10, so 1+0=1; O=15, so 1+5=6; T=20, so 2+0=2. The next letter is Y (25th), and the sum of its digits is 2+5=7. Therefore, the next term is Y7. The video ends with a 'Thanks for Watching' screen.

The video provides a structured and methodical approach to solving different types of series problems. It begins with a simple additive pattern, progresses to a more complex two-step pattern involving differences, then to a division-based pattern, and concludes with a letter-number combination pattern. The key learning points are to identify the relationship between consecutive terms, whether it's addition, subtraction, multiplication, or division, and to look for patterns in the differences or ratios. For letter series, the instructor emphasizes the importance of converting letters to their alphabetical positions and then applying arithmetic operations to the digits of that position. The video effectively demonstrates a step-by-step problem-solving strategy that can be applied to a wide range of similar questions.

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